Double exponential quadrature for fractional diffusion. [PDF]
Rieder A.
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Optimal Gevrey Regularity for Supercritical Quasi-Geostrophic Equations
AbstractWe consider the two dimensional surface quasi-geostrophic equations with super-critical dissipation. For large initial data in critical Sobolev and Besov spaces, we prove optimal Gevrey regularity endowed with the same decay exponent as the linear part.
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Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics. [PDF]
Deng Y, Zillinger C.
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Analytical smoothing effect of solution for the boussinesq equations
In this paper, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobolev H 1-solution to the incompressible Boussinesq equations in periodic ...
Cheng, F, Xu, C. -J
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Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]
Jiménez-Garrido J +3 more
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Editorial of the special issue: vorticity, rotation and symmetry (V)-global results and nonlocal phenomena. [PDF]
Danchin R +3 more
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On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations. [PDF]
Lin Q, Liu X, Titi ES.
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Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term
In this paper we consider the Cauchy boundary value problem for the abstract Kirchhoff equation with a continuous nonlinearity m : [0,+\infty) --> [0,+\infty).
Ghisi, Marina, Gobbino, Massimo
core
On nonlinear Landau damping and Gevrey regularity
In this article we study the problem of nonlinear Landau damping for the Vlasov-Poisson equations on the torus. As our main result we show that for perturbations initially of size $ε>0$ and time intervals $(0,ε^{-N})$ one obtains nonlinear stability in regularity classes larger than Gevrey $3$, uniformly in $ε$.
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Anomaly Non-renormalization in Interacting Weyl Semimetals. [PDF]
Giuliani A, Mastropietro V, Porta M.
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